Efficient DMFT-simulation of the Holstein-Hubbard Model

Abstract

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field approximation, where it allows access to strong interactions, very low temperatures and arbitrary fillings. We show that a renormalized Migdal-Eliashberg theory provides a reasonlable description of the phonon contribution to the electronic self energy in strongly doped systems, but fails if the quasiparticle energy becomes of order of the phonon frequency.

Published version

References in corpus (3)

• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Pressure-induced metal-insulator transition in LaMnO3 is not of Mott-Hubbard type
• First- and Second Order Phase Transitions in the Holstein-Hubbard Model

Cited by in corpus (6)

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• Continuous-Time Quantum Monte Carlo Method for the Coqblin-Schrieffer Model
• Gutzwiller scheme for electrons and phonons: the half-filled Hubbard-Holstein model